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Finding the Fourth Proportional to 379.74, 566.72 and 370.02

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Solution

The fourth proportional to 379.74, 566.72 and 370.02 is: 552.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.74 : 566.72 = 370.02 : x
  2. Step 2: Convert to fraction form
    379.74/566.72 = 370.02/x
  3. Step 3: Cross multiply
    379.74x = 566.72 × 370.02
  4. Step 4: Simplify right side
    379.74x = 209,697.73
  5. Step 5: Solve for x
    x = 209,697.73/379.74
  6. Step 6: Final answer
    x = 552.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.